A remark on a relation between foliations and number theory
Fabian Kopei
TL;DR
This paper explores a mathematical analogy between the behavior of meromorphic functions on foliations and the product formula in algebraic number theory, highlighting a deep connection between geometry and number theory.
Contribution
It introduces an interpretation of a formula for meromorphic functions on foliations as an analogue to the valuation product formula in number theory.
Findings
Establishes a conceptual link between foliations and number theory valuations
Provides a new perspective on the structure of meromorphic functions on foliations
Suggests potential for further research in geometric number theory
Abstract
We interpret a formula for meromorphic functions on foliations by Riemann surfaces as an analogue to the product formula of valuations in algebraic number theory.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Advanced Algebra and Geometry